23edo and octave stretching: Difference between revisions

Table of intervals: sed -E "s#([0-9]+):([0-9]+)#\\[\\[\\1/\\2\\]\\]#g" 23EDOintervals.txt > 23EDOintervals.new.txt
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superdiatonic, not superantidiatonic
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The perfect fifth is sharper than it is in [[7edo]], and thus the width of the perfect fifth falls within the [[syntonic temperament]]'s tuning range. However, stretched-23 is ''not'' a syntonic temperament; using the perfect fifth as [[generator]] results in an [[antidiatonic]] scale, like those of the [[mavila]] and [[pelogic]] temperaments. Because of this, stretched-23 is not an extension of or replacement for 12edo, but rather an alternative to it; its strengths tend to be 12edo's weaknesses and vice versa, so they complement each other.
The perfect fifth is sharper than it is in [[7edo]], and thus the width of the perfect fifth falls within the [[syntonic temperament]]'s tuning range. However, stretched-23 is ''not'' a syntonic temperament; using the perfect fifth as [[generator]] results in an [[antidiatonic]] scale, like those of the [[mavila]] and [[pelogic]] temperaments. Because of this, stretched-23 is not an extension of or replacement for 12edo, but rather an alternative to it; its strengths tend to be 12edo's weaknesses and vice versa, so they complement each other.


Stretched-23 is one of the best tunings to use for exploring the antidiatonic scale (and its 9-note extension, the [[superantidiatonic]] scale), since its fifth is more [[consonant]] and less "[[Wolf interval|wolfish]]" than fifths in other [[pelogic family]] temperaments.
Stretched-23 is one of the best tunings to use for exploring the antidiatonic scale (and its 9-note extension, the [[superdiatonic]] scale), since its fifth is more [[consonant]] and less "[[Wolf interval|wolfish]]" than fifths in other [[pelogic family]] temperaments.


== Table of intervals ==
== Table of intervals ==